SHSAT Math Practice Test 2014 (Released Question Answers)

Craig went bowling with $25 to spend. He rented shoes for $5.25 and paid $4.00 for each game. What was the greatest number of games Craig could have played?

The label on a 1 ½ pound bag of wildflower seeds states that it will cover an area of 375 square feet. Based on this information, what is the number of square feet that1 pound of wildflower seeds will cover?

Which expression is equivalent to (7x – 5 ) – ( 3x – 2 )? 

The Lions won 16 games last year. This year the Lions won 20 games. What is the percent increase in the number of games the Lions won from last year to this year?

The table shows prices for shoe rental, games, and snacks at the bowling alley.

Gina rented shoes, bowled 3 games, and bought 1 order of nachos. She used a coupon for ½ off the price of her bowling games. What was Gina’s total cost before tax was added?

The population of a city is expected to increase by 7.5% next year. If p represents the current population, which expression represents the expected population next year?

Laticia randomly selected 25% of the seventh-grade students in her school and asked them their favorite season. Of the students surveyed, 51 chose summer as their favorite season. Based on the data, what is the most reasonable prediction of the number of seventh-grade students in her school who would choose summer as their favorite season?

Ms. Graves gave her class 12 minutes to read. Carrie 5 ½ read pages in that time. At what rate, in pages per hour, did Carrie read?

Ms. Andrews made the line plots below to compare the quiz scores for her first-period math class and her second-period math class. She gave the same quiz to each class.

What conclusion can Ms. Andrews make about the performance of her first- and second-period classes?

Which tree diagram shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labeled 1 through 4?

An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which fraction is closest to the probability that the next customer will pay with cash?

Scientists determined that Antarctica’s average winter temperature was -34.44°. The difference between this temperature and Antarctica’s highest recorded temperature was 49.44 degrees. What was Antarctica’s highest recorded temperature?

The expression below was simplified using two properties of operations.

                 5(11z + 29 + 6z)

step 1       5(11z +6z + 29)
step 2      5(17z + 29)
step 3      85z + 145

Which properties were applied in Steps 1 and 3, respectively?

Solve for x .
0.5x + 78.2 = 287

Katie bought 4 sweaters that each cost the same amount and 1 skirt that cost $20. The items she bought cost a total of $160 before tax was added. What was the cost of each sweater?

Jocelyn was shopping at a farmers’ market. She observed the prices of cucumbers at several stands. Which sign shows a proportional relationship in the pricing of the cucumbers?

Doug earns $10.50 per hour working at a restaurant. On Friday he spent 1 (1/3) hours cleaning, 2(1/3) hours doing paperwork, and 1 (5/12) hours serving customers. What were Doug’s earnings?

The test scores of the students in Mr. Duffy’s class are shown on the line plot below.

Most of the students in Ms. Guzman’s class scored higher than most of the students in Mr. Duffy’s class on the same test. Which line plot could represent the test scores of the students in Ms. Guzman’s class?

A store sold 650 bicycles last year. This year the store sold 572 bicycles. What is the percent decrease in the number of bicycles sold from last year to this year?

Sammy drew a rectangle that was w inches wide. The expression 2(2w) + 2(w) represents the perimeter of the rectangle that Sammy drew. Which statement relates the perimeter to the width of the rectangle?

Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 5%. If c represents the cost of Sally’s groceries, which expression represents Sally’s grocery bill?

The cost of oranges in a grocery store is directly proportional to the number of oranges purchased. Jerri paid $2.52 for 6 oranges. If p represents the cost, in dollars, and n represents the number of oranges purchased, which equation best represents this relationship?

Charis invested $140. She earned a simple interest of 3% per year on the initial investment. If no money was added or removed from the investment, what was the amount of interest Charis received at the end of two years?

Which expression is equivalent to 4.8 + 2.2w – 1.4w + 2.4

A storeowner made a list of the number of greeting cards sold last month. The store sold 167 thank-you cards, 285 birthday cards, and 56 blank cards. Based on these data, which number is closest to the probability that the next customer will buy a blank card?

Bananas cost $0.45 per pound. What equation is used to find C, the total cost of p pounds of bananas?

A store purchased a DVD for $12.00 and sold it to a customer for 50% more than the purchase price. The customer was charged a 7% tax when the DVD was sold. What was the customer’s total cost for the DVD?

To select a new school mascot, 20 randomly selected students in each grade were asked to choose between the two finalists: tiger and eagle. The results are shown below.

Which statement is best supported by the results?

Nadia will survey 50 students in her town to find out what their favorite summertime activity is. Which group would likely give the best representation for her survey?

Tracy has $35 to buy comic books and to pay for a movie ticket. Each comic book costs $3. The movie ticket costs $10. Which inequality can be used to determine how many comic books, b, Tracy can buy?